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Finding the Fourth Proportional to 1,047.41, 1,445.17 and 593.17

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Solution

The fourth proportional to 1,047.41, 1,445.17 and 593.17 is: 818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.41 : 1,445.17 = 593.17 : x
  2. Step 2: Convert to fraction form
    1,047.41/1,445.17 = 593.17/x
  3. Step 3: Cross multiply
    1,047.41x = 1,445.17 × 593.17
  4. Step 4: Simplify right side
    1,047.41x = 857,236.70
  5. Step 5: Solve for x
    x = 857,236.70/1,047.41
  6. Step 6: Final answer
    x = 818.43

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.